• Title/Summary/Keyword: Numerical differentiation

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Calculation of the Wave Resistance of SWATH Ships using Rankine Source Panel Methods (Rankine 소오스 패널법을 이용한 소수선면 쌍동선의 조파저항계산)

  • Chun, H.H.;Lee, M.H.;Joo, Y.R.;Jang, H.S.
    • Journal of the Society of Naval Architects of Korea
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    • v.34 no.2
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    • pp.27-38
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    • 1997
  • This paper is concerned with the calculation of the wave resistance for SWATH ships based on a low order Rankine source panel method. Two types of free surface boundary conditions, Dawson type (double model approximation) and Kelvin type (free stream approximation) are used. For the free surface boundary calculation, an analytic differentiation is employed instead of implementing a finite difference scheme. Then, the radiation condition is satisfied by, so called, the panel shift method. The numerical results using the above two methods are compared with those using the thin ship/modified slender body approximation and also with the experimental results. The SWATH models considered are a single strut SWATH and a twin strut SWATH together with the variations of two demihull separation distance. In order to prove the validity of the program developed, the numerical calculations for a Wigley mono hull and Wigley twin hulls are compared with the available experimental results.

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An Experimental Evaluation on Vibration Serviceability of Existing Bridge by Non-contact Vibration Measurement Method (비부착식 진동측정방법에 의한 공용중 교량의 진동사용성에 대한 실험적 평가)

  • Shin, Hyun-Seop;Park, Ki-Tae;Lee, Kyu-Wan;Jun, Jin-Taek
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.14 no.6
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    • pp.254-262
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    • 2010
  • In order to evaluate vibration serviceability by means of non-contact vibration meter, serviceability of existing bridge were experimentally evaluated by using laser vibration meter. Test results were analyzed and compared with evaluation results acquired by using accelerometer and LVDT. To testify accuracy of laser vibration meter measured natural frequency were compared with that acquired by using accelerometer. According to test and comparison results it is showed that serviceability can be evaluated properly enough from the tolerance curve of Reiher-Meister for the estimated acceleration that can be calculated by the numerical differentiation of measured velocity. But because of cumulative numerical error occurred during integration of measured velocity in the time domain serviceability grade could be different from the result acquired by LVDT.

Structural Damage Assessment Using Transient Dynamic Response (동적과도응답을 사용한 구조물의 손상진단)

  • 신수봉;오성호;곽임종;고현무
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.4
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    • pp.395-404
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    • 2000
  • A damage detection and assessment algorithm is developed by measuring accelerations at limited locations of a structure under forced vibrations. The developed algorithm applies a time-domain system identification (SI) method that identifies a structure by solving a linearly constrained nonlinear optimization problem for optimal structural parameters. An equation error of the dynamic equilibrium of motion is minimized to estimate optimal parameters. An adaptive parameter grouping scheme is applied to localize damaged members with sparse measured accelerations. Damage is assessed in a statistical manner by applying a time-windowing technique to the measured time history of acceleration. Displacements and velocities at the measured degrees of freedom (DOF) are computed by integrating the measured accelerations. The displacements at the unmeasured DOF are estimated as additional unknowns to the unknown structural parameters, and the corresponding velocities and accelerations we computed by a numerical differentiation. A numerical simulation study with a truss structure is carried out to examine the efficiency of the algorithm. A data perturbation scheme is applied to determine the thresholds lot damage indices and to compute the damage possibility of each member.

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On-line Motion Synthesis Using Analytically Differentiable System Dynamics (분석적으로 미분 가능한 시스템 동역학을 이용한 온라인 동작 합성 기법)

  • Han, Daseong;Noh, Junyong;Shin, Joseph S.
    • Journal of the Korea Computer Graphics Society
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    • v.25 no.3
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    • pp.133-142
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    • 2019
  • In physics-based character animation, trajectory optimization has been widely adopted for automatic motion synthesis, through the prediction of an optimal sequence of future states of the character based on its system dynamics model. In general, the system dynamics model is neither in a closed form nor differentiable when it handles the contact dynamics between a character and the environment with rigid body collisions. Employing smoothed contact dynamics, researchers have suggested efficient trajectory optimization techniques based on numerical differentiation of the resulting system dynamics. However, the numerical derivative of the system dynamics model could be inaccurate unlike its analytical counterpart, which may affect the stability of trajectory optimization. In this paper, we propose a novel method to derive the closed-form derivative for the system dynamics by properly approximating the contact model. Based on the resulting derivatives of the system dynamics model, we also present a model predictive control (MPC)-based motion synthesis framework to robustly control the motion of a biped character according to on-line user input without any example motion data.

Numerical Analysis Study on Micro-plastic Particle behavior According to the Shape of Cyclone Separator (Cyclone separator의 형상에 따른 미세플라스틱 입자 거동 수치해석 연구)

  • Insun Kang;Wonjun Seo;Dongho Yu;Yeongshik Kim;Hyeungchul Kim;Seokyeon Im
    • Tribology and Lubricants
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    • v.40 no.2
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    • pp.61-66
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    • 2024
  • Micro-plastics are synthetic high-differentiation chemicals of less than 5mm in size, and are deposited not only on the sea surface but also on the coast. If these micro-plastics are not properly separated from the sand, they can threaten marine ecosystems. Thus, in the present study, we aimed to apply cyclone separator to the micro-plastic retrieval in order to predict the movement of particles according to the formation of the cyclone separator by applying the centrifugal force of the particle in accordance with the rotational movement of the air. The cyclone separator has three shapes, the first one is a typical interconnected cyclone separator. The second is the horn form, except for the cylinder in a regular cyclone separator, and the third is a form that increases the horn's height twice in the second. The numerical analysis simulation of the Cyclone separator used the Fluent software package. The output speed of the Cyclone separator was 5 to 13m/s at 1m/s intervals. The simulated particles include sand, Styrofoam, PET, PP, and PU. Sand particles are assigned a fixed diameter of 2mm, while other particles have a diameter of 3mm. As a result of the analysis, the first form was not separated from plastic. The Styrofoam separation efficiency in the second showed its highest efficiency at 72.7% at 7m/s, and the efficiency decreased after 12m/s as the sand particles were mixed into the plastic attachment location. In the third form, the separation efficiency of Styrofoam at 12m/s was highest at 67.9%.

Clinical investigation about the interrelationship between differentiation of syndroms and numerical value of measurement(Yang-do-rack diagnosis) in acute stroke patients (급성기(急性期) 중풍환자(中風患者)에 있어서 양도락(良道絡)과 변증모형(辨證模型)의 상관관계(相關關係)에 대한 연구(硏究))

  • Moon Young-Ho;Bae Hyung-Sup;Moon Sang-Kwan;Ko Chang-Nam;Cho Ki-Ho;Kim Young-Suk;Lee Kyung-Sup;Park Jung-Mi
    • The Journal of Internal Korean Medicine
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    • v.19 no.2
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    • pp.28-36
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    • 1998
  • Background : Yang-do-rack is frequently used in diagnosing syndromes in oriental medical hospital, but there has been few clinical report on Yang-do-rack. So we intended to find out the relationship among Yang-do-rack, general characteristics and the differentiaion of syndromes in acute stroke patients. Materials and Methods : In this study we selected the subjects who were hospitalized from March 1, 1998 to July 31. 1998 at the department of circulatory internal medicine at college of oriental medicine, in Kyung-Hee University, diagnosed acute cerebral infarction or hemorrhage within 7 days after onset time. We checked Yang-do-rack scores with Autonomic Nervous System YORAK (Sord Medicom co. Ltd, Korea) and calculated the scores of each diffentiation of syndroms. Resuts : 1. In left leg meridian, there was more numerical value male than female on LF1, LF2, LF4, LF6. The value of LF1, LF3, LF4, LF5 was getting lower as the score of heat-transformation syndrom(火熱證) increased. 2. In left arm meridian, there was more numerical value male than female on LH2, LH5. The value of LH1, LH3, LH5 was getting lower as the score of exuberance of Yang due to deficiency of Yin syndrom(陰虛陽亢證) increased. 3. In right leg meridian, there was more numerical value male than female on RF1, RF2, RF4, RF6. The value of RF3, RF5 was getting lower as the score of heat-transformation syndrom(火熱證) increased and RF4 as the score of exuberance of Yang due to deficiency of Yin syndrom(陰虛陽亢證) increased. 4. In right arm meridian, the value of RH1 was getting lower as the score of exuberance of Yang due to deficiency of Yin syndrom(陰虛陽亢證) increased. These results show that the Yang-do-rack diagnosis could offer supplemental help for diffrentiation of syndroms in acute stroke patient.

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A New Development in the Theory of Slender Ships (세장선 이론의 새로운 전개)

  • 김인철
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.27 no.1
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    • pp.83-90
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    • 1991
  • The method, which is introduced here, is an approximation derived by an application of the slender body theory, which has achieved a great success in the field of aeronautical engineering. However numerical results for wave resistance by this theory have been very disappointing. A slender body formulation for a ship in uniform forward motion si presented. It is based on the asymptotic expansion of the Kelvin source and the result is quite different from the existing slender ship theory developed by Vossers, Tuck and Maruo. It is equivalent to an approximation for the kernel function of the Neumann-Kelvin problem which assumes the linearized free surface condition but deals with the body boundary condition in its exact from. The velocity field and pressure distribution can be calculated simply by the differentiation of the two-dimensional velocity potential. A formula for the wave resistance of slender ships is also presented.

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Joint Tolerance Design by Minimum Sensitivity Theorem (최소민감도이론에 의한 조인트 부재의 공차설계)

  • 임오강;류재봉;박배준;이병우
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.161-170
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    • 1998
  • A general formulation of the long cylinder tolerance design for the joint structure is here presented. The aim of this paper is to calculate the tolerance of joint by defining tolerance as a kind of uncertainty and to obtain the robustness of the joint structure. It is formulated on the bases of the minimum sensitivity theorem. The objective function is the tolerance sensitivity for the Von-Mises stress. It also took into full account the stress, displacement and weight constraints. PLBA(Pshenichny-Lim-Belegundu-Arora) algorithm is used to solve the constrained nonlinear optimization problem. The finite element analysis is performed with CST(Constant-Strain-Triangle) axisymmetric element. Sensitivities for design variables are calculated by the direct differentiation method. The numerical result is presented for the cylindrical structure where the joint tolerance is treated as random variables.

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A TWO-DIMENSIONAL FINITE VOLUME METHOD FOR TRANSIENT SIMULATION OF TIME- AND SCALE-DEPENDENT TRANSPORT IN HETEROGENEOUS AQUIFER SYSTEMS

  • Liu, F.;Turner, I.;Ahn, V.;Su, N.
    • Journal of applied mathematics & informatics
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    • v.11 no.1_2
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    • pp.215-241
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    • 2003
  • In this paper, solute transport in heterogeneous aquifers using a modified Fokker-Planck equation (MFPE) is investigated. This newly developed mathematical model is characterised with a time-, scale-dependent dispersivity. A two-dimensional finite volume quadrilateral mesh method (FVQMM) based on a quadrilateral background interpolation mesh is developed for analysing the model. The FVQMM transforms the coupled non-linear partial differential equations into a system of differential equations, which is solved using backward differentiation formulae of order one through five in order to advance the solution in time. Three examples are presented to demonstrate the model verification and utility. Henry's classic benchmark problem is used to show that the MFPE captures significant features of transport phenomena in heterogeneous porous media including enhanced transport of salt in the upper layer due to its parameters that represent the dependence of transport processes on scale and time. The time and scale effects are investigated. Numerical results are compared with published results on the some problems.

Optimal cross-section and configuration design of cyclic loaded elastic-plastic structures

  • Valido, Anibal J.;Sousa, Luis G.;Cardoso, J. Barradas
    • Structural Engineering and Mechanics
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    • v.4 no.1
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    • pp.25-35
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    • 1996
  • This paper describes a continuum variational formulation for design optimization of nonlinear structures in the elastic-plastic domain, where unloading and reloading of the structures are allowed to occur. The Total Lagrangian procedure is used for the description of the structural deformation. The direct differentiation approach is used to derive the sensitivities of the various structural response measures with respect to the design parameters. Since the material goes into the inelastic range and unloading and reloading of the structure are allowed to occur, the structural response is path dependent and an additional step is needed to integrate the constitutive equations. It can be shown, consequently, that design sensitivity analysis is also path-dependent. The theory has been discretized by the finite element technique and implemented in a structural analysis code. Mathematical programming approach is used for the optimization process. Numerical applications on trusses are performed, where cross-sectional areas and nodal point coordinates are treated as design variables. Optimal designs have been obtained and compared by using two different strategies: a two level strategy where the levels are defined accordingly the type of design variables, cross sectional areas or node coordinates, and optimizing simultaneously with respect to both types of design variables.